♥ Answer: x=-6.9
Solve:
You need to <span>Simplify both sides of the equation.
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Now: <span>Flip the equation.
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</span>Lastly <span>Divide both sides by -116.85.
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Final answer: x=-6.9
Answer:
8
Step-by-step explanation:
12 +4x = 36
Then solve the linear eqn
Answer:
185 units
Step-by-step explanation:
Given,
The revenue function is,
Cost function,
,
Where,
x = number of units produced.
Thus, profit = revenue - cost
Differentiating with respect to x,
Again differentiating with respect to x,
For maxima or minima,
P'(x) = 0,
For x = 185,
P''(x) = negative,
Hence, for maximising the profit 185 units must be produced.
Answer:
4:1
Step-by-step explanation:
Answer:
If (K + 1)^2 = 2n + (n^2)/2, then the answer is Yes, else No.
Step-by-step explanation:
Sum of first K + 1 odd numbers (S): 1 + 3 + 5 + ... + (2K - 3) + (2K - 1) + (2K + 1).
(1 + 3 + 5 + ... + (2K - 3) + (2K - 1) + (2K + 1)) + ((2K + 1) + (2K - 1) + (2K - 3) + ... + 5 + 3 + 1 ) = (2K + 2) + (2K + 2) + (2K + 2) + ... + (2K + 2) + (2K + 2) + (2K + 2) (repeat K + 1 times) = (2K + 2)(K + 1) = 2S
2S = (2K + 2)(K + 1)
S = (2K + 2)(K + 1)/2
S = (2K^2 + 4K + 2)/2
S = K^2 + 2K + 1
S = (K + 1)^2
(4n + n^2)/2 = 2n + (n^2)/2
